When a gas filled in a closed vessel is heated by raising the temperature by 1° C, its pressure increase by 0.4 %. The initial temperature of the gas is K.

Question

When a gas filled in a closed vessel is heated by raising the temperature by 1° C, its pressure increase by 0.4 %. The initial temperature of the gas is K. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

pV = nRT Δ P . V = nR Δ T ⇒ (Δ P / P )=(Δ T / T )=(0.4/100) ⇒ T =(100 × 1/0.4)=250 K

Q. When a gas filled in a closed vessel is heated by raising the temperature by $1^{\circ} C$ , its pressure increase by $0.4%$ . The initial temperature of the gas is ____ $K$ .

$p V = n RT$
$Δ P . V = n R Δ T$
$\Rightarrow \frac{Δ P}{P} = \frac{Δ T}{T} = \frac{0.4}{100}$
$\Rightarrow T = \frac{100 \times 1}{0.4} = 250 K$

Q. When a gas filled in a closed vessel is heated by raising the temperature by 1∘C, its pressure increase by 0.4%. The initial temperature of the gas is ____K.

pV=nRT ΔP.V=nRΔT ⇒PΔP​=TΔT​=1000.4​ ⇒T=0.4100×1​=250K

Q. When a gas filled in a closed vessel is heated by raising the temperature by $1^{\circ} C$ , its pressure increase by $0.4%$ . The initial temperature of the gas is ____ $K$ .

$p V = n RT$
$Δ P . V = n R Δ T$
$\Rightarrow \frac{Δ P}{P} = \frac{Δ T}{T} = \frac{0.4}{100}$
$\Rightarrow T = \frac{100 \times 1}{0.4} = 250 K$