How do I solve: 1) A gas system has pressure, moles, and temperature of 0.832 at
ID: 578297 • Letter: H
Question
How do I solve:
1) A gas system has pressure, moles, and temperature of 0.832 atm, 0.303 moles and 8.000°C, respectively. What is the volume in L?
2) A gas system has pressure, volume and temperature of 1500 torr, 3.84 L and 277°K, respectively. How many moles of gas are present?
3) A gas system has a volume, moles and temperature of 8.65L, 0.652 moles and 229°K, respectively. What is the pressure in torr?
4) A technician measures the voltage drop of 25 V across a 100- resistor using a digital voltmeter. Ohm’s law states that V = IR . What is the current flow (I) through the resistor (R )? How much power (P in Watts) is consumed by the resistor? (Hint: P = I2R) (Answer: 250 mA, 6.25 W)
Explanation / Answer
1)
We know that PV = nRT
V = nRT/P
n = 0.303 mole,
T = 80C = 8+273.15 = 281.15K,
P= 0.832 atm,
R = 0.08205 L atm mol-1 K-1 ( R = gas constant)
V = ?
Substitute these value in above equation.
V = 0.303 X0.08205 X 281.15/0.832 = 8.40 L
volume ot the gas = 8.40 L
2)
Ideal gas equation
PV = nRT where, P = atm pressure= 1500 torr = 1.9737 atm,
V = volume in Liter = 3.84 L
n = number of mole = ?
R = 0.08205L atm mol-1 K-1 =Proportionality constant = gas constant,
T = Temperature in K = 277 K
We can write ideal gas equation
n = PV/RT
Substitute the value
n = (1.9737 X 3.84)/(0.08205 X 277) = 0.3347 mole
mole of gas = 0.3347 mole
3)
PV = nRT where, P = atm pressure= ?
V = volume in Liter = 8.65 L
n = number of mole = 0.652 mol
R = 0.08205L atm mol-1 K-1 =Proportionality constant = gas constant,
T = Temperature in K = 229 K
We can write ideal gas equation
P = nRT/V
Substitute value in above equation
P = 0.652 X0.08205 X 229 / 8.65 = 1.416 atm
1.416 atm = 1076.16 torr
pressure of gas = 1076.16 torr
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