Answer :
the volume of the gas near 40°C is approximately 0.00806 L.
Given:
Temperature of gas (T) = 40°C = 313 K
Height of the column of gas (V) = 6.7 cm = 0.0067 L (assuming 1 cm³ = 1 mL = 0.001 L)
Pressure of the gas (P) = 303 K
Using the ideal gas law equation: PV = nRT
Converting the height of the column of gas from centimeters to liters:
V = [tex]\frac{6.7 *1}{1*1000}[/tex]
Now, rearrange the ideal gas law equation to solve for the number of moles of gas (n):
n = PV / RT
Substitute the given values
n = ([tex]\frac{303 K * 0.0067 L}{0.08206 *313 K}[/tex]
Calculate the value of n:
n ≈[tex]\frac{ (2.0231) }{(25.6638)}[/tex]
n ≈ 0.07889 mol
Finally, to find the volume of the gas (V), rearrange the ideal gas law equation:
V = nRT / P
Substitute the values of n, R, T, and P:
V = [tex]\frac{0.07889 mol * 0.08206 *313 K}{303}[/tex]
Calculate the value of V:
V ≈ [tex]\frac{ (2.44422)}{303}[/tex]
V ≈ 0.00806 L
So, the volume of the gas near 40°C is approximately 0.00806 L.
The probable question maybe:
Determine the volume of air at approximately 40°C with a given gas temperature of 40°C, a column height of 6.7 cm, and a pressure of 303 K. Calculate the volume of gas present in the system.
Final answer:
Measuring temperature with a gas thermometer involves observing the change in volume of the gas as temperature changes at constant pressure. By comparing the volume changes, the temperature of boiling ammonia can be determined.
Explanation:
Measuring temperature using a gas thermometer involves observing the change in volume of the gas as the temperature changes at constant pressure. In the given example, the volume of hydrogen in a hydrogen gas thermometer changes from 150.0 cm³ to 131.7 cm³ when immersed in boiling liquid ammonia. By comparing the volume changes at different temperatures, the temperature of boiling ammonia can be determined on both the Kelvin and Celsius scales.
