Change in pressure using PV=nRT

In summary, the gas initially has a pressure of 6.5 atm and a temperature of 9.4◦C in a tank. When half of the gas is withdrawn and the temperature is raised to 62.4◦C, the new pressure in the tank is 15.439 atm. However, this calculation may not be accurate as the value of n is not a constant in the given formula.
  • #1
rinarez7
27
0
1. Gas is confined in a tank at a pressure of
6.5 atm and a temperature of 9.4◦C.
If half of the gas is withdrawn and the
temperature is raised to 62.4◦C, what is the
new pressure in the tank? Answer in units of
atm.



2. PV=nRT
Ti= 9.4 C + 273= 282.4K
Tf= 62.4 C +273= 335.4K




3. PV= nRT, n and R are constants, therefore I used PV= T
So, initially, 6.5atmVi= 282.4K giving, Vi = 43.446

I then used (1/2) 43.446 as Vf and solved for Pf
Pf= Tf/ Vf=> 15.439 atm

But this isn't right, I know. What am I missing??
 
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  • #2
Hi rinarez7,

rinarez7 said:
1. Gas is confined in a tank at a pressure of
6.5 atm and a temperature of 9.4◦C.
If half of the gas is withdrawn and the
temperature is raised to 62.4◦C, what is the
new pressure in the tank? Answer in units of
atm.



2. PV=nRT
Ti= 9.4 C + 273= 282.4K
Tf= 62.4 C +273= 335.4K




3. PV= nRT, n and R are constants


I don't believe n is a constant here; they are removing some of the gas.
 
  • #3
Complete Solution Removed
 
  • #4
unscientific, please check your PM's.
 

1. What is PV=nRT and how does it relate to change in pressure?

PV=nRT is known as the Ideal Gas Law, where P is pressure, V is volume, n is the number of moles of gas, R is the ideal gas constant, and T is temperature. This equation shows the relationship between these variables and explains how changes in pressure can occur when other variables are altered.

2. How does temperature affect pressure in PV=nRT?

In PV=nRT, temperature is directly proportional to pressure. This means that as temperature increases, so does pressure, and vice versa. This relationship is known as Charles's Law.

3. Can changes in volume also affect pressure in PV=nRT?

Yes, changes in volume can also affect pressure in PV=nRT. According to Boyle's Law, pressure and volume have an inverse relationship, meaning that as volume decreases, pressure increases, and vice versa.

4. How does the number of moles of gas impact pressure in PV=nRT?

The number of moles of gas, represented by the variable n, is directly proportional to pressure in PV=nRT. This means that as the number of moles of gas increases, so does pressure, and vice versa. This relationship is known as Avogadro's Law.

5. What is the ideal gas constant, R, and why is it important in PV=nRT?

The ideal gas constant, R, is a constant value that relates the units of pressure, volume, temperature, and number of moles in the Ideal Gas Law equation, PV=nRT. It is important because it allows us to use different units for these variables and still get accurate results.

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