High School

How many moles of hydrogen are present in a 37.1 mL sample at 26°C and 696 torr? Assume the hydrogen is dry.

Answer :

The number of moles of hydrogen present in a 37.1-ml sample at 26°C and 696 torr is 0.00147 moles.

To determine the number of moles of hydrogen in the given sample, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

First, we need to convert the volume from milliliters to liters by dividing it by 1000. So, the volume becomes 0.0371 liters. Next, we convert the temperature from Celsius to Kelvin by adding 273.15, giving us 299.15 K.

Now, we rearrange the ideal gas law equation to solve for the number of moles (n). The equation becomes n = PV / RT.

Substituting the values into the equation, we have n = (696 torr) * (0.0371 L) / [(0.0821 L·atm/mol·K) * (299.15 K)].

After performing the calculation, we find that the number of moles of hydrogen is approximately 0.00147 moles.

In summary, to calculate the number of moles of hydrogen in the given sample at 26°C and 696 torr, we used the ideal gas law equation. By substituting the values and performing the necessary calculations, we determined that the sample contains 0.00147 moles of hydrogen.

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