A 0.917 -mol sample of hydrogen gas at a temperature of 25.0^8 C is found to occupy a volume of

step 1 There. This problem is a word problem with lots of different values. As we read through the ques

A 0.917 -mol sample of hydrogen gas at a temperature of...

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Key Concepts

Pressure Conversion

Pressure conversion is key when the gas pressure is initially calculated in units such as atmospheres (atm) but must be reported in a different unit like torr. Recognizing that 1 atm is equivalent to 760 torr allows one to convert the pressure value accurately to the desired units.

Temperature Conversion

In gas law calculations, temperature must be expressed in Kelvin because the Kelvin scale is an absolute temperature scale used in thermodynamic equations. Converting from Celsius to Kelvin ensures that the proportional relationships in the ideal gas equation correctly reflect the absolute kinetic energy of the gas particles.

Ideal Gas Law

The ideal gas law relates the pressure, volume, temperature, and the number of moles of a gas using the equation PV = nRT. It is a fundamental principle in physical chemistry and thermodynamics that allows for the calculation of any one of these parameters if the others are known, assuming the gas behaves ideally under given conditions.

Transcript

00:01 There.

00:03 This problem is a word problem with lots of different values.

00:07 As we read through the question, we see that we are trying to solve for pressure.

00:17 And we want to know pressure in the unit's tour.

00:21 Some of the other information we are provided in this problem is number of moles, which we abbreviate with the letter n.

00:29 And that is 0 .917.

00:37 Our temperature, sorry, i'm going to go back and put hydrogen in here.

00:47 Temperature is 25 degrees celsius.

00:53 We have learned in this unit that temperatures need to be in kelvin for us to be able to use them in any of our equations.

01:05 So i'm going to go ahead and add 273 to convert this to 298 kelvin.

01:14 We also have a volume of 21 .7 liters.

01:22 Looking at what we have here? we have a number of moles, a temperature, volume, and we're trying to solve for pressure.

01:30 This appears to be an ideal gas law, which means we will want to use the equation pv equals nrt, where r is a constant.

01:42 It is the universal gas constant.

01:44 We have a couple of different options of values to use for r.

01:49 For this problem, since we are trying to find our pressure in tor, i am going to use the value of r that has tor in its units.

01:59 And that is 62 .4 liters times tor over mole times kelvin...

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