EXPNSION OF LIQUIDS. block of woo is flotin on wte t C with cetin volume V bove wte level. The tempetue of wte is slowly ise fom C to C. How the volume V chne with the ise of tempetue ) V will emin unchne ) V will o ecesin fom beinnin to the en ) V will ecese till the tempetue of wte eches t 4 C n then it will o on ecesin. 4) V will incese till the tempetue of wte eches to 4 C n then it will o on ecesin. liqui with coefficient of volume expnsion is fille in contine of mteil hvin the coefficient of line expnsionα. If the liqui oveflows on hetin ) α ) > α ) < α 4) > α. When liqui, tken in lon cylinicl vessel of mteil with line coefficient of expnsion 'α ', is hete; the level of liqui i not chne. The volume coefficient of expnsion of liqui is ) α ) α ) α 4) 4α 4. The sufce wte in lke is oin to feeze. Now the tempetue of wte t the bottom is ) 74 K ) 77 K ) K 4) K 5. ppent expnsion of liqui epens upon () Ntue of liqui (c) Tempetue ise (b) ntue of vessel () scle of tempetue ) Only () is tue ) () & (b) e tue ) (), (b) & (c) e tue 4) (), (b), (c) & () e tue 6. List - I List - II. ppent expnsion e. Ntue of vessel & Liqui b. el expnsion f. Ntue of liqui c... Vessel, Liqui & tempetue h. liqui & tempetue ) - e, b - f, c -, - h ) - f, b -, c - h, - e ) -, b - h, c - e, - f 4) - h, b - e, c - f,
7. List - I List - II. mss of liqui expelle on hetin m e. + Δt b. coecte Bometic heiht f. t t ( ) mδt c. coefficient of el expnsion of liqui. + Δt. mss of liqui eminin on hetin h. h ( α) ) -, b - h, c - f, - e ) - h, b - e, c -, - h ) - e, b - f, c -, - h 4) - f, b -, c - h, e 8. List - I List - II. is +ve & < e. liqui level oes not chne b. is -ve f. liqui level inceses continuously. liqui level eceses c.. Δt > h. liqui level fist eceses n then inceses ) -, b - e, c - f, - h ) - h, b - f, c - e, - ) - e, b - f, c -, - h 4) - f, b -, c - h, e 9. List - I List - II. Tempetue of wte t the bottom of lke e. 7K b. of wte is -ve between f. 77K c. of wte is positive. bove 77K. Tempetue of wte just below ice lye in Lke h. 7K n 77K ) -, b - h, c - e, - f ) - h, b - e, c - f, - ) - e, b - f, c -, - h 4) - f, b - h, c -, e. ): el expnsion of liqui oes not epen upon mteil of contine ): Liquis hve no efinite shpe. They cquie the shpe of thei contines. ) Both n e tue n is the coect explntion of ) Both n e tue n is not the coect explntion of ) is tue n is flse 4) is flse n is tue. ): vessel is fille, with wte, up to bim t 4 C. It ove flows when the system is coole e hete ): Wte hs minimum volume t 4 C. ) Both n e tue n is the coect explntion of ) Both n e tue n is not the coect explntion of ) is tue n is flse 4) is flse n is tue
. vessel is hlf fille with liqui t C. When the vessel is hete to C, the liqui occupies /4 volume of the vessel. Coefficient of ppent expnsion of the liqui is ).5/ C ).5/ C ).5/ C 4).5/ C. of liqui is 7/8 of of liqui. α of vessel is ) ) ) 8 4 4) 6 4. Co-efficient of ppent expnsions of liqui in Gol vessel is G n when hete in silve vessel is S. If coefficient of line expnsion of Gol is, coefficient of line expnsion of Silve is G+ S G S+ G+ S + G S + ) ) ) 4) 5. liqui occupies hlf of vessel t pticul tempetue. The volume of the unoccupie pt emins constnt t ll tempetues. If α n e the coefficients of line n el expnsions of vessel n liqui, then ) α ) α / ) 6 α 4) 9 α 6. If on hetin liqui thouh 8 C, the mss expelle is coefficient of ppent expnsion of the liqui is th of mss still eminin, the ).6 / C ).8 / C 5 ).5 / C 4).5 / C 7. lss vessel just hols 5m of liqui t C. If the coefficient of line expnsion of lss is8 / C The mss of the liqui it hols t 8 C is [coefficient of bsolute expnsion of liqui 5 / C ] ) 46 m ) 48 m ) 5m 4) 4 m 6 8. Fo liqui when hete in vessel it is foun tht. Coefficient of line 7 expnsion of the vessel is ) ) ) 4) 4 9. When liqui in lss vessel is hete, its ppent expnsion is. / C. Sme liqui when hete in metl, its ppent expnsion is.6 / C. The coefficient of line expnsion of the metl is (α of lss 9 / C ) ) 5 / C ) 4 / C ) 5 / C 4) 7 / C. Two lite lss flsk contins some mecuy. It is foun tht t ll tempetues the volume of the i insie the flsk emins the sme. The volume of the mecuy insie the flsk is 6 (α fo lss 9 / o 4 C, fo mecuy.8 / o C ) ) 5cc ) 5cc ) cc 4) cc
. The co-efficient of el expnsion of H is.8 / C. If the ensity of H t C is.6 m/c.c its ensity t C will be ). m/c.c ). m/c.c ).6 m/c.c 4) m/c.c. mecuy themomete contins c.c. of H. t C. Distnce between C n C mks on the stem is 5cm n imete of the boe is.cm. of liqui is ).55/ C ).66/ C ).55/ C 4).58/ C. Coefficient of el expnsion of mecuy is.8 / C. If the ensity of mecuy t C is.6 m/c.c., its ensity t 57K will be ).9 m/c.c ). m/c.c ).95 m/c.c 4).75 m/c.c 4. Pycnomete weihts 4m when empty n 4 m when fille with mecuy t C. On hetin to C m of mecuy ove flows if the coefficient of el expnsion of mecuy is./ C The coefficient of cubicl expnsion of lss is )./ C ). / C ). / C 4)./ C 5. When block of ion flots in mecuy t C, fction K of its volume is submee, while t the tempetue 6 C, fction K is seen to be submee. If the coefficient of K volume expnsion of ion is n tht of mecuy is H then the tio K expesse s cn be ) + 6 + 6 H ) 6 + 6 H ) + 6 6 H 4) + 6 + 6 H KEY ) 4 ) ) 4) 5) 4 6) 7) 8) 9) 4 ) ) ) ) 4) 5) 6) 4 7) 8) 9) 4 ) 4 ) ) ) 4) 4 5)
V V. V ( t t ) V V 4.5 / V C. + α α 8 α 4 4. + α cons tnt G+ S + α G+ S α 5. V LVL V αv. 6α HINTS M M 6. M ( t t ) M.5 x -4 / C M (8) m m 7. m 8 4 6 5 x 5 4 x 8 x 48 m 6 8. + α + α α 7 9. + α + α + α m m. x -4 + 7 x -6.6 x -4 + α m.5 4 α m 7 / C
. V LVL -6-4 7 x x.8 x V L -6 7 x x L 4 V cc.8 x. + t t ( ).6.6. s/ cc +.8.6 ΔV πρ h. V Δ t V Δ t 4 5 7 55 x -6 / C.6. 5 + t + 8. m 4. + x But ( M x)( t t ) x ( )( ) ( )( )./ C 5. Weiht of boy wt of liqui isplce. VB Vml Vin Fction (F) V B t B t & B t t B t t B t + t + 6 Ht 6 + + H