Question

a gas sample has a volume of 4.0 l at a temperature of 127°c. if the temperature is increased to 450 k while keeping the pressure constant, what will be the new volume of the gas?
a 14.1 l
b 1.12 l
c 2.67 l
d 4.5 l

Explanation:

Step1: Convert initial temperature to Kelvin

The initial temperature \(T_1 = 127^{\circ}C\). Using the formula \(T(K)=T(^{\circ}C)+273\), we get \(T_1=127 + 273=400\space K\). The initial volume \(V_1 = 4.0\space L\) and the final temperature \(T_2 = 450\space K\).

Step2: Apply Charles's Law

Charles's Law is \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\). Rearranging for \(V_2\), we have \(V_2=\frac{V_1\times T_2}{T_1}\).
Substitute the values: \(V_2=\frac{4.0\times450}{400}\)

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Answer:

D. 4.5 L