Question

Five liters of air at 50 c is warmed to 100c what is the new volume if the pressure remain constant

Answer 1

The answer is 8.361 L

Step-by-step explanation:

Answer 2

To solve the problem, we can use Charle's law, which states that for an ideal gas at constant pressure the ratio between absolute temperature T and volume V remains constant:

`(T)/(V)=k`
For a gas transformation, this law can be rewritten as

`(T_1)/(V_1)= (T_2)/(V_2)` (1)
where 1 and 2 label the initial and final conditions of the gas.

Before applying the law, we must convert the temperatures in Kelvin:

`T_1 = 50^(\circ)C + 273 = 323 K`

`T_2 = 100^(\circ)C+273=373 K`
The initial volume of the gas is
`V_1 = 5 L`, so if we re-arrange (1) we find the new volume of the gas:

`V_2 = V_1 (T_2)/(T_1)=(5 L) (373 K)/(323 K)=5.77 L`