(C) For a gas at constant volume,according to Gay-Lussac's Law,$P \propto T$.This implies $\frac{\Delta P}{P} = \frac{\Delta T}{T}$.Given that the per

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(C) For a gas at constant volume,according to Gay-Lussac's Law,$P \propto T$.This implies $\frac{\Delta P}{P} = \frac{\Delta T}{T}$.Given that the percentage increase in pressure is $\frac{\Delta P}{P} \times 100 = 0.5\%$ and the change in temperature is $\Delta T = 5 \ K$.Substituting these values into the equation:$\frac{0.5}{100} = \frac{5}{T}$$T = \frac{5 \times 100}{0.5}$$T = 1000 \ K$.Therefore,the initial temperature of the gas is $1000 \ K$.

Class 11 Physics Kinetic Theory of Gases Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

Medium

When the temperature of a gas at constant volume is increased by $5^{\circ}C$,its pressure increases by $0.5\%$ of its initial value. The initial temperature of the gas is..... $K$.

A
$1100$
B
$850$
C
$1000$
D
$940$

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Class 11

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Kinetic Theory of Gases

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

When the temperature of a gas in a closed vessel is increased by $1 \ ^\circ C$,its pressure increases by $0.4 \ \%$. The initial temperature of the gas is:

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The pressure versus temperature graph of an ideal gas is as shown in the figure. The density of the gas at point $A$ is ${\rho _0}$. The density at point $B$ will be

Medium

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In the given $(V - T)$ diagram,what is the relation between pressures $P_1$ and $P_2 \,?$

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What is the ratio of the universal gas constant $(R)$ to the Avogadro number $(N_A)$?

Easy

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If in a given container there are $N$ number of molecules,then what will be the number of moles?

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When the temperature of a gas at constant volume is increased by $5^{\circ}C$,its pressure increases by $0.5\%$ of its initial value. The initial temperature of the gas is..... $K$.

Similar Questions

When the temperature of a gas in a closed vessel is increased by $1 \ ^\circ C$,its pressure increases by $0.4 \ \%$. The initial temperature of the gas is:

The pressure versus temperature graph of an ideal gas is as shown in the figure. The density of the gas at point $A$ is ${\rho _0}$. The density at point $B$ will be

In the given $(V - T)$ diagram,what is the relation between pressures $P_1$ and $P_2 \,?$

What is the ratio of the universal gas constant $(R)$ to the Avogadro number $(N_A)$?

If in a given container there are $N$ number of molecules,then what will be the number of moles?

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