Question

If a 300.0 ml sample of a gas is heated at constant pressure from 25.0ºc to 55.0ºc, its new volume is _____ ml?

Answer 1

To find the new volume of a gas when it is heated at constant pressure, we can use Charles's Law.

Step-by-step explanation:

To find the new volume of a gas when it is heated at constant pressure, we need to use the relationship between volume and temperature known as Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature when pressure is held constant.

We can use the formula V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the new volume, and T2 is the new temperature. Rearranging the formula, we get V2 = (V1 ×T2) / T1.

Using the given values, V1 = 300.0 ml, T1 = 25.0ºC = 298 K, and T2 = 55.0ºC = 328 K, we substitute these values into the formula to calculate the new volume:

V2 = (300.0 ml ×328 K) / 298 K = 32800 ml / 298 = 110.07 ml.

Answer 2

The new volume is 330.2 ml

calculation

The new volume is calculated using the Charles law formula

that is V1/T1= V2/T2

where T1= 25.0 c into kelvin = 25 +273 = 298 K

V1= 300.0 ml

T2 = 55.0 c into kelvin = 273 +55 =328 K

V2 = ? ml

make V2 the subject of the formula by multiplying both side by T2

V2= V1T2/ T1

V2 =[ (300.0 ml x 328 k) / 298 k} = 330.2 ml