4. Calculate the volume (in cm³) of air expelled from a vessel containing 0-4 litres of it at 250 K. when it is heated to 27°C at the same pressure. (Ans. 80 cm³)
So the volume of air expelled from the vessel is 2832 cm^3
Explanation:
To calculate the volume (in cm³) of air expelled from a vessel when it is heated, we can use the Ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Here,
P = 1 atm (since the pressure is same)
n = 0.04 moles (4 litres of air at 250 K)
R = 8.314 J/mol.K
As we know that T1/T2 = V2/V1, we can use this relation to find the final volume of air.
Answers & Comments
Answer:
So the volume of air expelled from the vessel is 2832 cm^3
Explanation:
To calculate the volume (in cm³) of air expelled from a vessel when it is heated, we can use the Ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Here,
P = 1 atm (since the pressure is same)
n = 0.04 moles (4 litres of air at 250 K)
R = 8.314 J/mol.K
As we know that T1/T2 = V2/V1, we can use this relation to find the final volume of air.
V2 = V1 * T2/T1 = V1 * (27+273)/(250+273) = 4*300/523 = 2.832 litres = 2832 cm^3