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andre [41]
2 years ago
4

Calculate the number of moles of an ideal gas if it occupies 1750 dm3 under 125,000 Pa at a temperature of 127 C.

Chemistry
2 answers:
Margarita [4]2 years ago
7 0
<h2>Hello!</h2>

The answer is:

The number of moles (n) is 65.55 mol.

n=65.55mol

<h2>Why?</h2>

To solve the problem, we need to use the ideal gas law.

The Ideal Gas Equation is given by the following expression:

PV=nRT

Where,

P, is the pressure in atm

V, is the volume in liters (L)

n, is the number of moles

R, is the Ideal Gas Constant

T, is the temperature in Kelvin (K)

We are given the information:

P=12500Pa\\V=1750dm^{3}\\T=127\°C

We need to convert the given units in order to use the Ideal Gas Equation, so, converting we have:

Pressure:

We know that:

1atm=101325Pa

So, converting we have

125000Pa*\frac{1atm}{101325Pa}=1.23atm

Volume:

We know that:

1L=1dm^{3}

So, we have:

1750dm^{3}=1750L

Temperature:

We know that to convert from celsius degrees to Kelvin, we need to perform the following operation:

T(K)=T(\°C)+273.15

So, converting we have:

T(K)=127+273.15=400.15

Also,  we have that

R=0.08205746\frac{atm.L}{mol.K}

Now, substituting the given information into the equation to isolate "n", we have:

PV=nRT\\\\1.23atm*1750L=n*0.08205746\frac{atm.L}{mol.K}*400.15K\\\\2152.5atm.L=n*32.84\frac{atm.L}{mol}\\\\n=\frac{2152.5atm.L}{32.84atm.L}mol\\\\n=65.55mol

Hence, we have that the number of moles (n) is 65.55 mol.

Have a nice day!

Vesnalui [34]2 years ago
6 0

Answer:

65.81

Explanation:

Educere/ Founder's Education

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