When a gas in a closed vessel was heated so a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a gas in a closed vessel,volume $V$ is constant. According to Gay-Lussac's Law,$P \propto T$ (where $T$ is in Kelvin).Let the initial pressure

Vedclass · Accepted Answer

$227$

Vedclass · Answer

(C) For a gas in a closed vessel,volume $V$ is constant. According to Gay-Lussac's Law,$P \propto T$ (where $T$ is in Kelvin).Let the initial pressure be $P_1$ and initial temperature be $T_1$ (in Kelvin).When the temperature increases by $5^{\circ}C$,the new temperature $T_2 = T_1 + 5$.The pressure increases by $1\%$,so the new pressure $P_2 = P_1 + 0.01 P_1 = 1.01 P_1$.Using the relation $\frac{P_1}{P_2} = \frac{T_1}{T_2}$,we get:$\frac{P_1}{1.01 P_1} = \frac{T_1}{T_1 + 5}$$T_1 + 5 = 1.01 T_1$$0.01 T_1 = 5$$T_1 = \frac{5}{0.01} = 500 \ K$.To convert Kelvin to Celsius: $t(^{\circ}C) = T(K) - 273$.$t = 500 - 273 = 227^{\circ}C$.

When a gas in a closed vessel was heated so as to increase its temperature by $5^{\circ}C$,there occurred an increase of $1\%$ in its pressure. The original temperature of the gas was ...... $^{\circ}C$

Similar Questions

Find the ratio of the density of air at the top of a mountain to the density of air at the bottom of the mountain,given the conditions shown in the image.

Find the approximate number of molecules contained in a vessel of volume $7 \text{ litres}$ at $0^{\circ}C$ and a pressure of $1.3 \times 10^{5} \text{ Pa}$.

$A$ vessel of volume $8 \, L$ contains an ideal gas at $300 \, K$ and $2 \, atm$ pressure. The gas is allowed to leak until the pressure becomes $125 \, kPa$. Calculate the number of moles that leaked out if the temperature remains constant.

Two identical glass bulbs are connected by a thin glass tube. The system is filled with gas at $0^{\circ}C$. If one bulb is placed in ice and the other in hot water,the pressure of the gas becomes $1.5$ times the initial pressure. What is the temperature of the hot water in $^{\circ}C$?

Two spheres are connected to each other as shown in the figure. The volume of sphere $I$ is twice the volume of sphere $II$. They contain an ideal gas at temperatures $100 K$ and $200 K$,respectively. If the mass of the gas in sphere $I$ is $m$,what is the mass of the gas in sphere $II$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module