# Calculate quantities for an ideal gas. Show all work

*label*Science

*timer*Asked: Jan 15th, 2019

*account_balance_wallet*$15

### Question Description

*When solving problems, please show your FULL solution steps. Show what is given, then the formula that you are about to use, then the data entered into the formula followed by your final answer with proper units*

Calculate each of the following quantities for an ideal gas:

a. the volume of the gas, in liters, if 1.50 mol has a pressure of 1.25 atm at a temperature of -6 °C

b. the absolute temperature of the gas at which 3.33 X 10-3 mol occupies 478 mL at 750 torr

c. the pressure, in atmospheres, if 0.00245 mol occupies 413 mL at 138 °C

d. the quantity of gas, in moles, if 126.5 L at 54 °C has a pressure of11.25 kPa.

## Tutor Answer

The solutions are ready. I can give more explanations if you want. Note these liters, milliliters and cubic meters:)1 Torr is 1/760 of atm.

We need the ideal gas law: 𝑷𝑽 = 𝒏𝑹𝑻.

Here 𝑉 is the volume in 𝑚3 , 𝑛 is the amount of substance (in moles),

𝑇 is the absolute temperature in 𝐾, 𝑃 is the pressure, 𝑅 is the gas constant.

𝐽

If the pressure is in 𝑃𝑎, then 𝑅𝑃𝑎 ≈ 8.31 𝐾∙𝑚𝑜𝑙.

𝐿∙𝑎𝑡𝑚

If the pressure is in atmospheres, 𝑅𝑎𝑡𝑚 ≈ 0.082...

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