How to calculate the density of helium gas at a given pressure and temperature?

What is the ideal gas law equation?

The ideal gas law equation is PV = nRT, where P is Pressure, V is Volume, n is Number of moles, R is Ideal gas constant, and T is Temperature.

How do you convert pressure from mmHg to atm?

To convert pressure from mmHg to atm, divide the pressure by 760 mmHg, which is equivalent to 1 atm.

How do you convert temperature from Celsius to Kelvin?

To convert temperature from Celsius to Kelvin, add 273.15 to the temperature in Celsius.

What is the molar mass of helium gas?

The molar mass of helium gas is approximately 4 g/mol.

Answer:

The density of helium gas at 588 mmHg and 34.2 °C is approximately 0.1319 g/L.

To calculate the density of helium gas at a given pressure and temperature, we can use the ideal gas law equation: PV = nRT.

First, convert the given pressure from mmHg to atm by dividing the pressure by 760 mmHg. For example, 588 mmHg is equivalent to 0.7737 atm.

Next, convert the given temperature from Celsius to Kelvin by adding 273.15 to the temperature in Celsius. For example, 34.2 °C is equal to 307.35 K.

Now, rearrange the ideal gas law equation to solve for density: n/V = P/RT.

Substitute the values into the equation and calculate the number of moles per liter. In this case, it is 0.03297 mol/L.

Since helium gas is a monatomic gas with a molar mass of approximately 4 g/mol, the density of helium gas is determined to be 0.1319 g/L.

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