Open Question
An element in its solid phase has mass density 1750 kg/m^3 and number density 4.39×10^28 atoms/m^3. What is the element's atomic mass number?
20. Heat and Temperature
Moles and Avogadro's Number
Struggling with Physics?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
0.0076 moles of an ideal gas is at 24°C. If it is a sealed container with a volume of 86 cm3, what is the pressure of the gas?
A
2.4×105Pa
B
2.6×105Pa
C
2.8×105Pa
D
3.0×105Pa
E
2.2×105Pa
Verified step by step guidance1
Convert the temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature. This is necessary because the ideal gas law requires temperature in Kelvin.
Convert the volume from cubic centimeters to cubic meters. Since 1 m³ = 1,000,000 cm³, divide the volume in cm³ by 1,000,000 to get the volume in m³.
Use the ideal gas law equation, which is \( PV = nRT \), where \( P \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the ideal gas constant (8.314 J/(mol·K)), and \( T \) is the temperature in Kelvin.
Rearrange the ideal gas law equation to solve for pressure \( P \): \( P = \frac{nRT}{V} \).
Substitute the values for \( n \), \( R \), \( T \), and \( V \) into the equation to calculate the pressure \( P \). Ensure all units are consistent for accurate calculation.
7:19mWatch next
Master Moles & Avogadro's Number with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Moles and Avogadro's Number practice set
Problem sets built by lead tutorsExpert video explanations