Answer:
B) 51.41 kPa
Step-by-step explanation:
We can use the ideal gas law to solve this problem: PV = nRT
where:
P = pressure (in kPa)
V = volume (in L)
n = moles of gas
R = gas constant = 8.314 J/(mol K)
T = temperature (in K)
First, we need to convert the temperature to Kelvin:
T = (40.0 + 273.15) K = 313.15 K
Next, we can rearrange the ideal gas law to solve for P:
P = nRT/V
Substituting the given values, we get:
P = (6.00 mol) * (8.314 J/(mol K)) * (313.15 K) / (3.0 L) = 51.41 kPa
Therefore, the pressure in the balloon is 51.41 kPa, which is option B.