Question

The amount of heat needed to raise the temperature of 2 moles of an ideal monoatomic gas from $273K$ to $373K$, when no work is done is ($R$ = universal gas constant)

• A. $100R$
• B. $150R$
• C. $300R$
• D. $500R$

Answer 1

The correct option is C $300R$

For monoatomic gas, $C_v=\frac{3}{2}R$
$dQ=dU+dW$
When no work is done, $dW=0$
$dQ=dU=n{C}_{v}dT$
$dQ=2\times \frac{3}{2}R\times (373-273)=300R$