Q. 8.31 - An Introduction to General, Organic, and Biological Chemistry

Question

A gas sample has a volume of$0.256 L$ with an unknown temperature. The same gas has a volume of $0.198 L$ when the temperature is $32°C$, with no change in the pressure or amount of gas. What was the initial temperature, in degrees Celsius, of the gas? 

Step-by-Step Solution

Answer

The initial temperature, in degrees Celsius, of the gas is $41.3°C$

Step 1: Given information

We need to find that the initial temperature, in degrees Celsius, of the gas

Step 2: Explanation

We will use charles law here as pressure and amount will not change ;

let us assume initial volume to be $V_1$;

we will get $\frac{V_1}{V_2}=\frac{T_1}{T_2}\Rightarrow T_1=\frac{V_1\times T_2}{V_2}=\frac{0.256\times 32}{0.198}=41.3°C$