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A gas has a volume of 2.0 dm3 at a pressure of 200 kPa and 30 ℃. Calculate the amount (in mol) of gas present.Give your answer to two significant figures.

Question

A gas has a volume of 2.0 dm³ at a pressure of 200 kPa and 30 ℃.

Calculate the amount (in mol) of gas present.
Give your answer to two significant figures.

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Solution

To solve this problem, we can use the ideal gas law equation, which is PV = nRT.

Here, P = pressure = 200 kPa = 200,000 Pa (since 1 kPa = 1000 Pa) V = volume = 2.0 dm^3 = 2.0 L (since 1 dm^3 = 1 L) R = ideal gas constant = 8.314 J/(mol.K) T = temperature = 30 °C = 303.15 K (since temperature in Kelvin = temperature in °C + 273.15)

We need to find n, which is the amount of gas in moles.

Rearranging the ideal gas law equation to solve for n, we get n = PV/RT.

Substituting the given values into the equation, we get:

n = (200,000 Pa * 2.0 L) / (8.314 J/(mol.K) * 303.15 K)

After performing the calculation, we get n = 0.080 mol.

So, the amount of gas present is approximately 0.080 mol to two significant figures.

This problem has been solved

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