Answer :

The volume of 4.00 moles of methane gas at 19°C and 1.70 atm is calculated using the Ideal Gas Law, resulting in a volume of 70.2 liters.

The student is asking to calculate the volume of a given amount of methane gas (CH4), using the conditions of temperature and pressure provided. To find the volume of 4.00 moles of methane gas at 19°C and 1.70 atm, we can use the Ideal Gas Law, which is PV = nRT. Here's the process for calculating the volume:

Convert the temperature from Celsius to Kelvin: T(K) = 19°C + 273.15 = 292.15 K

Use the value for R (the ideal gas constant): R = 0.08206 L-atm/mol-K

Plug in the known values into the ideal gas equation and solve for V (volume).

The calculation is as follows:

V = \(\frac{{nRT}}{{P}}\) = \(\frac{{4.00\,\text{{mol}} \times 0.08206\,\text{{L-atm/mol-K}} \times 292.15\,\text{{K}}}}{{1.70\,\text{{atm}}}}\) = 70.2\,\text{{L}}

Therefore, the volume of 4.00 moles of methane gas at 19°C and 1.70 atm is 70.2 liters.

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Rewritten by : Jeany

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