(a) Calculate the temperature of the gas in Kelvin. 1 K (b) Use the ideal gas la

Question

(a) Calculate the temperature of the gas in Kelvin.
1 K

(b) Use the ideal gas law to calculate the number of moles of gas in the tank.
2 mol

(c) Use the periodic table to compute the molecular weight of carbon dioxide, expressing it in grams per mole.
3 g/mol

(d) Obtain the number of grams of carbon dioxide in the tank.
4 g

(e) A fire breaks out, raising the ambient temperature by 224.0 K while 82.0 g of gas leak out of the tank. Calculate the new temperature and the number of moles of gas remaining in the tank.

(f) Using the ideal gas law, find a symbolic expression for the final pressure, neglecting the change in volume of the tank. (Use the following as necessary: ni, the initial number of moles; nf, the final number of moles; Ti, the initial temperature; Tf, the final temperature; and Pi, the initial pressure.)

(g) Calculate the final pressure in the tank as a result of the fire and leakage.
8 Pa

PLEASE SHOW ALL FORMULAS AND COMPUTATIONS USED. THANKS

Explanation / Answer

(a)

The temperature in Kelvin is,

T = 20 + 273.15 = 293.15 K

(b)

The number of moles is,

pV = nRT

9.2*10^5* 21*10^-3= n*8.314*293.15

n = 7.92697 moles

(c)

Atmoic weight of carbon = 12

and for oxygen = 16

So, atomic weight of CO2 is,

M= 12 + 2*16 = 44 g/mol

(d)

Mass is

m= 44*7.92697

= 348.78 g

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