To solve this problem, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = gas constant (0.0821 L atm / mol K)
T = temperature (in K)
Step 1: Identify the given values:
n = 1.6 moles
V = 31.7 L
T = 290 K
R = 0.0821 L atm / mol K
Step 2: Plug in the values into the ideal gas law equation:
PV = nRT
P * 31.7 = 1.6 * 0.0821 * 290
Step 3: Solve for P:
P = (1.6 * 0.0821 * 290) / 31.7
Step 4: Calculate the value of P:
P = 1.465 atm
Step 5: Round the answer to the appropriate number of significant figures:
The pressure of 1.6 moles of gas occupying 31.7 L at a temperature of 290 K is approximately 1.47 atm.
Therefore, the correct answer is (a) 1.47 atm.
What is the pressure of 1.6 moles of a gas occupying 31.7 L at a temperature of 290 K?
Given R= 0.0821 L atm / mol K
Use the sample problem below and follow the 5 steps to help you solve the problem you were given.
a
14.6 atm
b
0.83 atm
c
0.14 atm
d
1.20 atm
1 answer