Question

The nitrogen pressure at the Venusian surface is 2050 torr and the atmosphere of Venus is 3.0 mole% N2. What is the surface pressure on Venus in atm?

Answer 1

To find the surface pressure on Venus in atm, we need to calculate the partial pressure of nitrogen (N2) in atm. The surface pressure on Venus is approximately 0.0785 atm.

Step-by-step explanation:

To find the surface pressure on Venus in atm, we need to calculate the partial pressure of nitrogen (N2) in atm. First, we convert the nitrogen percentage to a decimal: 3.0% = 0.03. Next, we use Dalton's Law of Partial Pressures, which states that the total pressure is equal to the sum of the partial pressures of each gas.

Thus, the partial pressure of nitrogen (PN2) is calculated as:

PN2 = Percentage of N2 x Total Pressure = 0.03 x 2050 torr

Finally, we convert the partial pressure of nitrogen to atm by dividing by 760 torr (1 atm = 760 torr).

Surface Pressure on Venus = PN2 / 760 torr

So, the surface pressure on Venus is approximately 0.0785 atm.

Answer 2

To calculate the surface pressure on Venus in atm, we'll need to use the ideal gas law: PV = nRT. First, we'll convert the pressure from torr to atm: 2050 torr = 2.701 atm. Then, we'll use the mole fraction of nitrogen to find the number of moles of nitrogen in the atmosphere. Assuming that the atmospheric pressure is equal to the surface pressure, we can use the ideal gas law to solve for P.

P = nRT/V

where P is the pressure, n is the number of moles, R is the gas constant, T is the temperature, and V is the volume.

First, we'll find the number of moles of nitrogen in the atmosphere:

n(N2) = 3.0/100 x n(total)

where n(total) is the total number of moles in the atmosphere.

Next, we'll rearrange the ideal gas law to solve for P:

P = nRT/V

We can assume that the volume is 1 mole of gas at STP, which is 22.4 L. The temperature on Venus is around 735 K. The gas constant is 0.08206 L atm/mol K.

Plugging in the values, we get:

P = (0.03)(0.08206)(735)/22.4

P = 0.679 atm

Therefore, the surface pressure on Venus is approximately 0.679 atm.