The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0° C to 50° C when no work is done is . ( R is the universal gas constant)

Question

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0° C to 50° C when no work is done is . ( R is the universal gas constant) (A) 250 R (B) 750 R (C) 175 R (D) 500 R

Tardigrade Admin · Accepted Answer

Δ Q=Δ U+Δ W Here Δ W=0 Δ Q=Δ U=n CV Δ T Δ Q=4 × (5 R/2)(50)=500 R

Q. The amount of heat needed to raise the temperature of $4$ moles of a rigid diatomic gas from $0^{\circ} C$ to $5 0^{\circ} C$ when no work is done is ______. ( $R$ is the universal gas constant)

250 R

750 R

175 R

500 R

$Δ Q = Δ U + Δ W$
Here $Δ W = 0$
$Δ Q = Δ U = n C_{V} Δ T$
$Δ Q = 4 \times \frac{5 R}{2} (50) = 500 R$

Q. The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0∘C to 50∘C when no work is done is ______. ( R is the universal gas constant)