Finding dT/t from the pV=nRT Equation

  • Thread starter Cadmatic
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    Pv=nrt
In summary, to find dT/t from the pV=nRT equation, you will need to rearrange the equation and solve for dT/t. The variables in the equation represent pressure, volume, number of moles, the ideal gas constant, and temperature. The units for each variable are typically atmospheres or Pascals for pressure, liters or cubic meters for volume, moles for number of moles, and L*atm/mol*K or J/mol*K for the ideal gas constant. The purpose of finding dT/t is to study the behavior of gases under different conditions and understand how temperature affects other variables in the equation. While the pV=nRT equation is most accurate for ideal gases, it can also be used
  • #1
Cadmatic
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Homework Statement



pV=nRT dV=10cm^3/min dP=-0,3N/cm^2/min n=5mol V=100cm^3 P=2N/cm^2 where d is change.
how does tempperature(T) change( dT/t ) compared to time


The Attempt at a Solution



No idea
 
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  • #2
Consider expanding

d(PV)=d(nRT)

(use the product law on the left side)


I'll help you with the right side :)

d(nRT)=nR(dT)
 
  • #3
So PdV+dPV=nRdT

dT=PdV+dPV/nR

dT=2*10-0.3*100/5R

dT=-10/5R ... ?
 

1. How do I find dT/t from the pV=nRT equation?

To find dT/t from the pV=nRT equation, you will need to rearrange the equation and solve for dT/t. The equation should look like this: dT/t = (pV/nR). This will give you the change in temperature divided by the initial temperature.

2. What do the variables in the pV=nRT equation represent?

In the pV=nRT equation, p represents pressure, V represents volume, n represents the number of moles of gas, R represents the ideal gas constant, and T represents temperature.

3. What units should I use for each variable in the pV=nRT equation?

Pressure (p) is typically measured in units of atmospheres (atm) or Pascals (Pa). Volume (V) is usually measured in liters (L) or cubic meters (m^3). The number of moles of gas (n) is measured in moles (mol). The ideal gas constant (R) can be used in a variety of units, but the most common are L*atm/mol*K or J/mol*K. Temperature (T) can be measured in degrees Celsius (°C), Kelvin (K), or degrees Fahrenheit (°F).

4. What is the purpose of finding dT/t from the pV=nRT equation?

Finding dT/t from the pV=nRT equation is useful for studying the behavior of gases under different conditions. It allows us to calculate the change in temperature over the initial temperature, which can help us understand how temperature affects other variables in the equation, such as pressure and volume.

5. Can the pV=nRT equation be used for all gases?

The pV=nRT equation is known as the ideal gas law and is most accurate for ideal gases, which are gases that have no intermolecular forces and take up no volume. However, it can also be used as an approximation for real gases at low pressures and high temperatures.

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