Question

For an ideal gas, calculate the following quantities. (a) The pressure of the gas if 0.135...

For an ideal gas, calculate the following quantities.

(a) The pressure of the gas if 0.135 mol occupies 207 mL at 35°C.

_____atm

(b) The temperature (in kelvins) at which 0.0260 mol occupies 3.00 L at 0.563 atm.

__________K

(c) The number of moles in 5.00 L at -2°C and 735 torr. Remember 1atm = 760 torr.

_________mol

(d) The volume occupied by 6.72 10-3 mol at 20.°C and a pressure of 1.77 kPa. Remember 1 atm = 101.325 kPa

__________L

Homework Answers

Answer #1

a) PV = nRT

T = temperature = 273 + 35 = 308 K

P = nRT/V = (0.135*0.0821*308) / 0.207 = 3.41 / 0.207 = 16.5 atm

b)

PV = nRT

0.563*3.00 = 0.0260 * 0.0821 * T

1.689 = 0.00213 * T

T = 793.0 K

Therefore, temperature is 793.0 K

c)

PV = nRT

P = pressure = 735 torr = 0.967 atm

0.967*5.00 = n * 0.0821*271

4.835 = n * 22.2

n = 0.218 mole

Therefore, the number of moles = 0.218

d)

PV = nRT

P = 1.77 kPa = 0.0175 atm

V = ?

n = 6.72*10^-3 mole

T = 273 + 20 = 293 K

0.0175 * V = (6.72*10^-3) * 0.0821 * 293

0.0175 V = 161.7*10^-3

V = 9.26 L

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