(c) Room temperature is often assumed to be 25 °C. Calculate the molar volume of an ideal gas at 25 °C and 101.3 kPa pressure.

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Welcome back everyone. A newly discovered planet has a surface temperature of about 970 kelvin and a pressure of 65 earth atmospheres. These conditions defined STP on this planet, calculate standard molar volume and leaders of gas on this planet. So because we need to calculate molar volume of gas, we want to recall our formula where pressure and volume are related to the most of our gas times. R gas constant. R times temperature in kelvin. And according to our prompt, our conditions of standard temperature and pressure is where we have 970 Kelvin of temperature and a pressure of 65 A. T. M's. And so isolating our formula for volume. We would say that we can take our molds of our gas times, R gas constant R times R kelvin temperature and divide it from our pressure. And so plugging in what we know we have our moles of gas, which at standard conditions should be equal to 1 80 M or sorry, one mole. So just making note of that, we have one mol at STP of gas. This is then multiplied by r gas constant R. Where we have from our notes 0. Leaders times a T. M's, divided by moles times kelvin. This is then multiplied by our temperature in Kelvin given in the prompt as standard temperature being 970 Kelvin for this planet. And then this is divided by our pressure, which we are given in the prompt as standard pressure being A. T. M's and so canceling out our units. Let's get rid of ATMs as well as moles as well as kelvin, leaving us with leaders as our final unit for volume And carefully plugging this into our calculator. We're going to get a volume equal to 1.2 leaders and this would be our final answer to complete this example as the standard molar volume and leaders of gas on this newly discovered planet. I hope that everything I reviewed was clear. If you have any questions, please leave them down below and I'll see everyone in the next practice video.

(c) Room temperature is often assumed to be 25 °C. Calculate the molar volume of an ideal gas at 25 °C and 101.3 kPa pressure.

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Key Concepts

Ideal Gas Law

Molar Volume

Temperature Conversion