The volume of a given mass of a gas at `27^(@)C`, `1 atm` is `100 cc`. What will be its volume at `327^(@)C`?

Options

A. `200 cc`
B. `150 cc`
C. `300 cc`
D. `100 cc`

Answer

A

Explanation

We have to convert the given temperature in kelvin.
If pressure of a given mass of the gas is kept constant, then `V prop T`
`implies V/T = consta nt [(V=, volume of gas), (T=, Temperature of gas)]`
`implies (V_1)/(T_1) = (V_2)/(T_2) implies V_(2)=V_(1) ((T_2)/(T_1))`
Here we must convert the given temperature in kelvin.
`T_(1) = 273+27 = 300K`
`T_(2) = 273+327 = 600K`
But, `V_(1) = 100c c`
`V_(2) = V_(1) ((600)/(300))implies V_(2) = 2V_(1)`
`:. V_(2) = 2 xx 100 = 200 c c`.