Write the ideal gas equation and give the units for each term. Calculate the temperature in oC when 2.50 moles of argon occupy 25.0 L at 1.20 atm.
Question
Write the ideal gas equation and give the units for each term. Calculate the temperature in oC when 2.50 moles of argon occupy 25.0 L at 1.20 atm.
Solution
The ideal gas equation is PV = nRT, where:
P = pressure (in atmospheres, atm) V = volume (in liters, L) n = number of moles (in moles, mol) R = ideal gas constant (0.0821 L·atm/mol·K) T = temperature (in Kelvin, K)
To calculate the temperature, we rearrange the equation to solve for T:
T = PV / nR
Substituting the given values:
T = (1.20 atm * 25.0 L) / (2.50 mol * 0.0821 L·atm/mol·K) T = 30.0 K
However, the question asks for the temperature in degrees Celsius. To convert from Kelvin to Celsius, we subtract 273.15:
T = 30.0 K - 273.15 = -243.15 °C
So, the temperature is -243.15 °C.
Similar Questions
40. At what temperature will 0.654 mol of neon gas occupy 12.30 L at 1.95 atm?*1 point264 K314 K389 K447 K
An ideal gas at 20 oC is heated isobarically. Find the temperature of the gas, when volume of gas getsdoubled
A sample of an ideal gas has a volume of 0.00100 m3, a pressure of 4.50 atmospheres and 2.00 × 1023 particles. What is the temperature of the gas?
The molar specific heat of a diatomic ideal gas at constant volume is Cv = 5/2 R. What is the heat needed to heat 28.00 g of nitrogen gas from 20.00 °C to 85.00 °C?
A 0.250 mole sample of an ideal gas has a volume of 0.00200 m3, a pressure of 2.00 atmospheres. What is the temperature of the sample of gas?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.