Question #198960

1500cm3

of an unknown gas have a pressure of 10000 N/m2

at 30C° find out number of moles of gas present inside

the container.

Expert's answer

P = 10000 N/m^{2} = 10000 Pa

V = 1500 cm^{3} = 0.0015 m^{3}

n = unknown

R = 8.314 m^{3} Pa K^{−1} mol^{−1}

T = 30°C + 273 = 303 K

**Solution:**

The Ideal Gas Law can be used.

The Ideal Gas Law can be expressed as: PV = nRT

To find the number of moles, solve the equation for n:

n = PV / RT

n = (10000 Pa × 0.0015 m^{3}) / (8.314 m^{3} Pa K^{−1} mol^{−1} × 303 K) = 0.00595 mol = 0.006 mol

n = 0.006 mol

**Answer: 0.006 mol of gas present inside the container.**

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