
Option C
Explanation:
Boyles law states that pressure is in inverse proportion with volume for a gas. This can be represented by the equation PV=k, where P is the pressure, V is the volume and k is a constant.
Charles law states that volume is in direct proportion with to temperature of the gas. This can be represented by the equation V/T=k, where T stands for temperature, V stands for volume and k represents a constant.
Combining the equations for Charles and Boyles law we get
PV/T = k, here k represents the constant value.
If we have P1, V1, T1 and P2 V2 and T2 representing the pressure of gas, volume of gas and the temperature of gas in 2 different conditions, then as per the above laws
P1V1/T1 = k and P2V2/T2 = k
Since both are equal to the same constant k, we have P1V1/T1=P2V2/T2