An ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa upon being supplied with 50 J of heat. Determine the number of moles in the gas if its initial temperature is 300 K . (Take R = 8.31 J K ⁻¹ mol ⁻¹ )

Step-by-step solution

Using the ideal gas equation for the initial state: P V₁ = n R T₁ Substituting the given values: P = 2.0 10^5 Pa V₁ = 100 cm ^3 = 100 10⁻⁶ m ^3 = 10⁻⁴ m ^3 T₁ = 300 K R = 8.31 J K ⁻¹ mol ⁻¹ n = 2.0 10^5 10⁻⁴ 8.31 300 n = 20 2493 0.008 mol