Calculate Gas Vol at S.T.P. from 750.0 mmHg, 85.0°C

In summary, to calculate gas volume at STP, use the ideal gas law equation: V = (nRT)/P, where V is the volume of the gas in liters, n is the number of moles of gas, R is the universal gas constant (0.0821 L·atm/mol·K), T is the temperature in Kelvin, and P is the pressure in atmospheres. STP stands for Standard Temperature and Pressure, which is defined as a temperature of 273.15 K (0°C or 32°F) and a pressure of 1 atmosphere (atm). It is important to use STP in gas calculations because it allows for the comparison of different gases under the same conditions and makes it easier
  • #1
HelloMotto
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A gas collecting tube full of water is inverted in a beaker of water in which a reaction is taking place. The water level in the tube is at 200.0 ml at the beginning of the experiment, and at 125.0 ml, at the end. the pressures is 750.0 mm Hg and the temperature is 85.0 Celsius. Calculate the volume of a gas collected corrected to S.T.P..

This is an review from last year and I can't exactly remember how to solve this.
 
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  • #2
Ideal gas equation will do. Or PV/T = const.
 
  • #3


To calculate the volume of gas collected at STP, we can use the ideal gas law: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. However, since the gas collected is not at STP, we need to use the combined gas law: (P1V1)/T1 = (P2V2)/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature.

First, we need to convert the given pressure of 750.0 mmHg to atmospheres (atm) by dividing it by 760 mmHg, the standard atmospheric pressure at STP. This gives us a pressure of 0.987 atm.

Next, we need to convert the given temperature of 85.0°C to Kelvin (K) by adding 273.15 to it. This gives us a temperature of 358.15 K.

Using the combined gas law, we can now solve for the volume of gas collected at STP: (0.987 atm * 200.0 ml)/358.15 K = (0.987 atm * V)/273.15 K.

Solving for V, we get V = (0.987 atm * 200.0 ml * 273.15 K)/(358.15 K) = 150.8 ml.

Therefore, the volume of gas collected at STP is 150.8 ml. It is important to note that this is the volume corrected to STP, meaning that it is the volume that the gas would occupy if it were at STP. This calculation assumes that the gas behaves ideally, meaning that there are no intermolecular forces or volume occupied by the gas particles themselves.
 

Related to Calculate Gas Vol at S.T.P. from 750.0 mmHg, 85.0°C

1. How do you calculate gas volume at STP?

To calculate gas volume at STP (Standard Temperature and Pressure), use the ideal gas law equation: V = (nRT)/P, where V is the volume of the gas in liters, n is the number of moles of gas, R is the universal gas constant (0.0821 L·atm/mol·K), T is the temperature in Kelvin, and P is the pressure in atmospheres.

2. What is STP?

STP stands for Standard Temperature and Pressure, which is defined as a temperature of 273.15 K (0°C or 32°F) and a pressure of 1 atmosphere (atm). It is commonly used as a reference point for gas calculations.

3. Why is it important to use STP in gas calculations?

Using STP in gas calculations allows for the comparison of different gases under the same conditions and makes it easier to convert between different units of measurement. It also allows for more accurate and standardized results in scientific experiments.

4. How do you convert temperature from Celsius to Kelvin?

To convert temperature from Celsius to Kelvin, simply add 273.15 to the Celsius temperature. In this case, the temperature of 85.0°C would be converted to 358.15 K.

5. Can gas volume be calculated at STP using different units of pressure?

Yes, gas volume can be calculated at STP using different units of pressure as long as they are converted to atmospheres (atm). For example, in this case, the pressure of 750.0 mmHg would need to be converted to 0.9869 atm before using it in the ideal gas law equation.

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