A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then percentage increase in its pressure will be

Question

A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then percentage increase in its pressure will be (A) 0.4 % (B) 0.2 % (C) 0.1 % (D) 0.8 %

Tardigrade Admin · Accepted Answer

p propto T (p1/p2)=(T1/T2) ⇒ (p2-p1/p1)=(T2-T1/T2) [(Δ p/p)] %=[(251-250/250)] × 100=0.4 %

Q. A gas at the temperature $250 K$ is contained in a closed vessel. If the gas is heated through $1 K$ , then percentage increase in its pressure will be

$0.4%$

$0.2%$

$0.1%$

$0.8%$

$p \propto T$
$\frac{p _{1}}{p _{2}} = \frac{T _{1}}{T _{2}}$
$\Rightarrow \frac{p _{2} - p _{1}}{p _{1}} = \frac{T _{2} - T _{1}}{T _{2}}$
$[\frac{Δ p}{p}] % = [\frac{251 - 250}{250}] \times 100 = 0.4%$

Q. A gas at the temperature 250K is contained in a closed vessel. If the gas is heated through 1K, then percentage increase in its pressure will be

0.4%

0.2%

0.1%

0.8%