A sample of a gas occupies a volume of 752 ml at 25°c. what volume will the gas occupies if the temperature increases to 50°c, if the pressure remains constant?

To solve this we assume that the gas is an ideal gas. Then, we can use the ideal gas equation which is expressed as PV = nRT. At a constant pressure and number of moles of the gas the ratio T/V is equal to some constant. At another set of condition of temperature, the constant is still the same. Calculations are as follows:

T1 / V1 = T2 / V2

V2 = T2 x V1 / T1

V2 = 298.15 x 752 / 323.15

V2 = 693.82 mL