A glass vessel just hold 50g of a liquid at `0^(@)C` . If the coefficient of linear expension of glass is `8 xx 10 ^ (-4//@)C`. The mass of the liquid , it holds at `50^(@)C` is

Options

A. 46 g
B. 48 g
C. 56 g
D. 42 g

Answer

C

Explanation

Coefficient of volume expansion,
`gamma=(v_(1)-v_(2))/(v_(1)(Deltat))`
`implies v_(2)=v_(1)(1+3alphaDeltat)`
`implies (m_(2))/(P)=(m_(1))/(P)(1+3alphaDeltat)`
`implies m_(2)=50[1 + (3 xx 8xx 10^(-4) xx 50)]`
`therefore m_(2) = 56g`