One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 × 103 Pa. What is the absolute temperature of the gas?
Question
One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 × 103 Pa. What is the absolute temperature of the gas?
Solution
To find the absolute temperature of the gas, we can use the ideal gas law, which is PV = nRT.
Here, P = pressure = 101.3 × 10^3 Pa V = volume = 0.0224 m^3 n = number of moles = 1 mole R = ideal gas constant = 8.314 J/(mol.K)
We need to find T, which is the absolute temperature.
Rearranging the ideal gas law, we get T = PV/nR.
Substituting the given values into the equation, we get T = (101.3 × 10^3 Pa * 0.0224 m^3) / (1 mole * 8.314 J/(mol.K)).
Solving this equation will give us the absolute temperature of the gas in Kelvin.
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