Element Density at 1000°C & 10 torr: Solve for Molar Mass

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In summary, element density is a measure of mass per unit volume and can change with temperature and pressure. Measuring element density at specific conditions, such as 1000°C and 10 torr, is important for understanding a substance's properties. Molar mass can be calculated using the ideal gas law, and while element density alone cannot identify an unknown element, it can be useful in combination with other properties.
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Bashyboy
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Homework Statement


At 1000 deg C and 10 torr, the densit of a certain element in the gaseous state is 2.55×10^-3 g/L. The element is:


Homework Equations





The Attempt at a Solution


So, i took the the density equation, that of which is derived from the ideal gas law, and rearranged to solve for the molar mass, but, unfortunately, it did not suceed. What am I to do to solve this problem?
 
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  • #2
What molar mass did you get?
 
  • #3
I got 21 g/mol--which is the answer. Sorry, i was looking at the wrong answer
 

1. What is element density?

Element density is the measure of how much mass is contained within a given volume of a substance. It is typically expressed in units of grams per cubic centimeter (g/cm3).

2. How is element density affected by temperature and pressure?

Element density can change with changes in temperature and pressure. As temperature increases, the volume of a substance usually increases, resulting in a decrease in density. Similarly, as pressure increases, the volume of a substance decreases, leading to an increase in density.

3. What is the significance of measuring element density at 1000°C and 10 torr?

Measuring element density at specific temperatures and pressures is important for understanding the properties of a substance under different conditions. In this case, 1000°C and 10 torr are often used in high-temperature and low-pressure experiments, making this information useful for researchers studying these conditions.

4. How is molar mass calculated using element density at 1000°C and 10 torr?

To calculate molar mass, the ideal gas law (PV = nRT) can be used, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. By rearranging the equation to solve for n, and then dividing the mass of the element by the number of moles, the molar mass can be determined.

5. Can element density at 1000°C and 10 torr be used to identify an unknown element?

Element density alone cannot be used to identify an unknown element. However, when combined with other properties and characteristics, such as melting point and atomic number, element density can help narrow down the possibilities and aid in the identification process.

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