The pressure of a sample of ch4 gas (6.022 g) in a 30.0 l vessel at 402 k is atm

The pressure of the sample CH₄ gas: P = 0.41 atm

Explanation:

According to the ideal gas equation:

Here, P is the total pressure of gas

V is the Total Volume of gas

T is Temperature

R is the gas constant = 0.08206 L·atm·K⁻¹·mol⁻¹

n is the number of moles of gas =

Given: Volume of gas: V = 30 L, Temperature: T = 402 K, Given mass of CH₄ gas: w = 6.022 g, Molar mass of CH₄ gas: m = 16 g/mol

So, number of moles of CH₄:

Now, to calculate the total pressure of the sample CH₄ gas, we use the equation,

Therefore, the pressure of the sample CH₄ gas: P = 0.41 atm

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