An open vessel at 27° C is heated until 1 / 5 text th part of the air in it has been expelled. If the volume of the container remains constant, what should be the temperature to which the vessel has been heated?

Question

An open vessel at 27° C is heated until 1 / 5 text th part of the air in it has been expelled. If the volume of the container remains constant, what should be the temperature to which the vessel has been heated? (A) 375 K (B) 750 K (C) 546 K (D) 408 K

Tardigrade Admin · Accepted Answer

n 1 T 1= n 2 T 2 ⇒ 1 × 300=(1-(1/5)) × T 2 ∴ T 2=(300 × 5/4)=375 K

Q. An open vessel at $2 7^{\circ} C$ is heated until $1/ 5^{th}$ part of the air in it has been expelled. If the volume of the container remains constant, what should be the temperature to which the vessel has been heated?

$375 K$

$750 K$

$546 K$

$408 K$

$n_{1} T_{1} = n_{2} T_{2}$

$\Rightarrow 1 \times 300 = (1 - \frac{1}{5}) \times T_{2}$

$∴ T_{2} = \frac{300 \times 5}{4} = 375 K$

Q. An open vessel at 27∘C is heated until 1/5th part of the air in it has been expelled. If the volume of the container remains constant, what should be the temperature to which the vessel has been heated?

375K

750K

546K

408K