(C) Using the combined gas law: $\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given: $P_1 = 740 \ mm$,$V_1 = 100 \ mL$,$T_1 = 27 + 273 = 300 \ K$.Given:

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(C) Using the combined gas law: $\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$.Given: $P_1 = 740 \ mm$,$V_1 = 100 \ mL$,$T_1 = 27 + 273 = 300 \ K$.Given: $P_2 = 740 \ mm$,$V_2 = 80 \ mL$.Since pressure is constant $(P_1 = P_2)$,the equation simplifies to Charles's Law: $\frac{V_1}{T_1} = \frac{V_2}{T_2}$.Substituting the values: $\frac{100}{300} = \frac{80}{T_2}$.$T_2 = \frac{80 \times 300}{100} = 240 \ K$.Converting to Celsius: $T_2( ^oC) = 240 - 273 = -33 \ ^oC$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

$A$ sample of gas occupies $100 \ mL$ at $27 \ ^oC$ and $740 \ mm$ pressure. What will be the temperature of the gas in $^oC$ if its volume is changed to $80 \ mL$ at $740 \ mm$ pressure?

A
$21.6$
B
$240$
C
$-33$
D
$89.5$

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Class 11

Chemistry Questions

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States of Matter

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Ideal gas equation and Related gas laws

If the density of a gas at $27\,^{\circ}C$ and $2\, atm$ is $5.46\, g/L$,then calculate the density of the gas at $STP$. (in $, g/L$)

Medium

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If the volume of $N_2$ gas at $STP$ is $204.75 \, mL$,then calculate the volume of the gas at $1.5 \, bar$ pressure and $127 \, ^oC$ temperature.

Medium

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An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

MediumMHT CET 2022

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At $T$ $K$,an ideal gas $(Z)$ present in $V$ $L$ flask exerted a pressure of $16.4$ $atm$. Its concentration is $1$ $mol$ $L^{-1}$. What is the value of $T$ in $K$?

MediumAP EAMCET 2023

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For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

Easy

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$A$ sample of gas occupies $100 \ mL$ at $27 \ ^oC$ and $740 \ mm$ pressure. What will be the temperature of the gas in $^oC$ if its volume is changed to $80 \ mL$ at $740 \ mm$ pressure?

Similar Questions

If the density of a gas at $27\,^{\circ}C$ and $2\, atm$ is $5.46\, g/L$,then calculate the density of the gas at $STP$. (in $, g/L$)

If the volume of $N_2$ gas at $STP$ is $204.75 \, mL$,then calculate the volume of the gas at $1.5 \, bar$ pressure and $127 \, ^oC$ temperature.

An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

At $T$ $K$,an ideal gas $(Z)$ present in $V$ $L$ flask exerted a pressure of $16.4$ $atm$. Its concentration is $1$ $mol$ $L^{-1}$. What is the value of $T$ in $K$?

For an ideal gas,if $P$ is the pressure,$R$ is the gas constant,and $T$ is the temperature,which of the following represents the number of moles per liter?

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