Volume of 0.582kg O2 at 1.0x10^5Pa & 1°C: .3788m^3

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In summary, the formula for calculating volume is V = m/pT, where V is volume, m is mass, p is pressure, and T is temperature. To convert units for pressure and temperature, divide pressure in Pa by 101325 to convert to atm and add 273.15 to convert from °C to K. In scientific calculations, mass is commonly given in kilograms for consistency and accuracy. Similarly, volume is given in cubic meters instead of liters for more precise measurements. To calculate the volume of a gas at a given pressure and temperature, plug in the values for mass, pressure, and temperature into the formula V = m/pT.
  • #1
mikefitz
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Homework Statement


A mass of 0.582 kg of molecular oxygen is contained in a cylinder at a pressure of 1.0 × 10^5 Pa and a temperature of 1°C. What volume does the gas occupy?


Homework Equations



PV = nRT

The Attempt at a Solution



15.9994 * 2 = 31.9988 amu
532g / 31.9988 amu = 16.62604 mol

K=1 + 273 = 274

(16.62604 x 8.3145 x 274)/100,000
= .3788m^3

This is wrong according to my book...Any ideas why?
 
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  • #2
The problem statement lists 0.582kg, and you use 532g in your calculation.
 
  • #3
According to google.com: 0.582 kilograms = 582 grams?
 
  • #4
Yeah, so why'd you use 532 in your calculation? A typo?
 

FAQ: Volume of 0.582kg O2 at 1.0x10^5Pa & 1°C: .3788m^3

1. What is the formula for calculating volume?

The formula for calculating volume is: V = m/pT, where V is volume, m is mass, p is pressure, and T is temperature.

2. How do you convert units for pressure and temperature?

To convert from Pa to atm, divide the pressure in Pa by 101325. To convert from °C to K, add 273.15 to the temperature in °C.

3. Why is the mass given in kilograms instead of grams?

In scientific calculations, it is common to use the SI unit of kilograms for mass. This ensures consistency and accuracy in the calculations.

4. Why is the volume given in cubic meters instead of liters?

Cubic meters is the SI unit of volume and is commonly used in scientific calculations. It is a larger unit than liters and allows for more precise measurements.

5. How do you calculate the volume of a gas at a given pressure and temperature?

The formula for calculating volume is: V = m/pT. Plug in the given values for mass, pressure, and temperature to calculate the volume.

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