Can you tell me if I got the right answers to the following problems. 1. A gas h

Question

Can you tell me if I got the right answers to the following problems.

1. A gas has a volume of 4.35ml at 27 degree C and 750mmHg. What is the pressure needed to change the volume to 5.00 at 0 degree C.

I got P2= 594mm

2. The volumne of gas at 35.0m^3 at 100 degree C. What is its volume at standard temperature?

I got V2=25.6m^3

3.A gas has a volume of 12.0 liters at 27 degree C and 850mmHg. How many moles are contained in the system.

I got .54mol

4. What is the temperature of 51.0grams of NH3 in a 30.0liter container at a pressure of 4.5atm of pressure?

I got T=32

Explanation / Answer

1. Using,

n = PV/RT

with,

P = 750 mmHg = 0.987 atm

V = 4.35 ml = 0.00435 L

T = 27 + 273 = 300 K

R = gas constant

n = moles

we get,

n = 0.987 x 0.00435/0.08205 x 300 = 0.00017 mols

Now to find P at V = 5 ml = 0.005 L and T = 273 K

P = 0.00017 x 0.08205 x 273/0.005 = 0.78 atm = 592.42 mmHg

2. Using,

V1/T1 = V2/T2

with,

V1 = 35 cm^3

T1 = 100 oC = 373 K

V2 = ?

T2 = 273.15 K

we get,

V2 = 35 x 273.15/373 = 25.63 cm^3

3. moles n = PV/RT

with,

P = 850/760 = 1.12 atm

V = 12 L

R = gas constant

T = 27 + 273 = 300 K

we get,

n = 1.12 x 12/0.08205 x 300 = 0.546 mols

4. Using,

T = PV/nR

with,

P = 4.5 atm

V = 30 L

R = gas constant

n = 51/17 = 3 moles

we get,

T = 4.5 x 30/3 x 0.08205 = 548.446 K = 275.446 oC

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