What does the symbol R represent in the ideal gas equation PV = nRT?
A
Rate of reaction B
Universal gas constant C
Relative molecular mass D
Resistance
Analysis & Theory
R is the universal gas constant in the ideal gas equation.
What is the value of R in SI units?
A
8.314 J/(mol·K) B
1.38 × 10⁻²³ J/K C
0.0821 L·atm/(mol·K) D
273 J/mol
Analysis & Theory
In SI units, R = 8.314 J/(mol·K).
Which of the following is NOT a correct unit for R?
A
8.314 J/(mol·K) B
0.0821 L·atm/(mol·K) C
62.36 L·torr/(mol·K) D
1.38 × 10⁻²³ J/K
Analysis & Theory
1.38 × 10⁻²³ J/K is the Boltzmann constant, not the universal gas constant.
The universal gas constant (R) is obtained from which two constants?
A
Avogadro’s number and Boltzmann constant B
Planck’s constant and speed of light C
Gravitational constant and Avogadro’s number D
Charge of electron and Planck’s constant
Analysis & Theory
R = k × N_A, where k is Boltzmann constant and N_A is Avogadro’s number.
What is the value of R in L·atm/(mol·K)?
A
8.314 B
62.36 C
0.0821 D
273
Analysis & Theory
R = 0.0821 L·atm/(mol·K).
In thermodynamics, the universal gas constant is used in:
A
Newton’s laws B
Ideal gas equation C
Coulomb’s law D
Snell’s law
Analysis & Theory
The universal gas constant is an essential part of the ideal gas equation PV = nRT.
What is the relation between universal gas constant (R), specific gas constant (R_specific), and molar mass (M)?
A
R = R_specific × M B
R = M / R_specific C
R_specific = R × M D
R = R_specific / M
Analysis & Theory
The relation is R = R_specific × M, where M is the molar mass of the gas.
What are the dimensions of R in terms of mass (M), length (L), time (T), and temperature (Θ)?
A
ML²T⁻²Θ⁻¹ B
MLT⁻²Θ⁻¹ C
M⁰L²T⁻²Θ D
ML²T⁻¹Θ⁻²
Analysis & Theory
R has the same dimensions as energy per mole per Kelvin: ML²T⁻²Θ⁻¹.
Which of the following is true about R?
A
It is the same for all gases B
It varies with the type of gas C
It depends on pressure D
It depends on volume
Analysis & Theory
R is a universal constant, hence the same for all gases.
Numerically, the value of R is closest to:
A
6.63 × 10⁻³⁴ B
9.8 C
8.314 D
3 × 10⁸
Analysis & Theory
The universal gas constant R ≈ 8.314 J/(mol·K).