Question

The amount of heat required to heat 1 mol of a monoatomic gas from 200${}^o$C to 250${}^o$C will be ............. if the heat required to heat the diatomic gas from 200${}^o$C to 300${}^o$C is Q.

• A. 2Q/3
• B. 3Q/5
• C. 3Q/10
• D. 2Q/5

Answer 1

The correct option is C 3Q/10

The heat required is given by formulae:

$Q=nc(T_2-T_1)$

For monoatomic:

$Q_1=1\times 3/2R\times (250-200)=3/2R\times 50$

For diatomic:

$Q=1\times 5/2R(300-200)=5/2R\times 100$

$Q_1/Q=3\times 50/5\times 100$

$Q_1/Q=3/10$

$Q_1=3Q/10$