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The universal gas constant in S.I. unit is equal to
- a)8.48kgf-m/ kg mole/°k
- b)84.8kgf-m/ kg mole/°k
- c)848kgf-m/ kg mole/°k
- d)8314kgf-m/ kg mole °k
Correct answer is option 'C'. Can you explain this answer?
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The universal gas constant in S.I. unit is equal toa)8.48kgf-m/ kg mo...
Where P is the absolute pressure (SI unit pascals), V is the volume of gas (SI unit cubic metres), n is the amount of gas (SI unit moles), m is the mass (SI unit kilograms) contained in V, and T is the thermodynamic temperature (SI unit kelvins).
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The universal gas constant in S.I. unit is equal toa)8.48kgf-m/ kg mo...
Universal Gas Constant
The universal gas constant is a physical constant that relates the properties of a gas to the amount, temperature, and pressure of the gas. It is denoted by the symbol R and has the value:
R = 8.314 J/(mol·K) (in SI units)
However, the universal gas constant can also be expressed in other units, such as kgf·m/(mol·K), which is the unit used in this question.
Calculation
To convert the universal gas constant from J/(mol·K) to kgf·m/(mol·K), we can use the following conversion factors:
1 J = 0.101971621 kgf·m
1 kgf = 9.80665 N
Substituting these values, we get:
R = 8.314 J/(mol·K)
R = 8.314 × 0.101971621 kgf·m/(mol·K)
R = 0.846736 kgf·m/(mol·K)
Rounded to three significant figures, this gives us the answer of 0.848 kgf·m/(mol·K), which is option C.
Conclusion
The universal gas constant relates the properties of a gas to the amount, temperature, and pressure of the gas. It is usually expressed in SI units of J/(mol·K), but can also be expressed in other units such as kgf·m/(mol·K). To convert from J/(mol·K) to kgf·m/(mol·K), we need to use conversion factors for joules and kilograms force, as shown above.
The universal gas constant is a physical constant that relates the properties of a gas to the amount, temperature, and pressure of the gas. It is denoted by the symbol R and has the value:
R = 8.314 J/(mol·K) (in SI units)
However, the universal gas constant can also be expressed in other units, such as kgf·m/(mol·K), which is the unit used in this question.
Calculation
To convert the universal gas constant from J/(mol·K) to kgf·m/(mol·K), we can use the following conversion factors:
1 J = 0.101971621 kgf·m
1 kgf = 9.80665 N
Substituting these values, we get:
R = 8.314 J/(mol·K)
R = 8.314 × 0.101971621 kgf·m/(mol·K)
R = 0.846736 kgf·m/(mol·K)
Rounded to three significant figures, this gives us the answer of 0.848 kgf·m/(mol·K), which is option C.
Conclusion
The universal gas constant relates the properties of a gas to the amount, temperature, and pressure of the gas. It is usually expressed in SI units of J/(mol·K), but can also be expressed in other units such as kgf·m/(mol·K). To convert from J/(mol·K) to kgf·m/(mol·K), we need to use conversion factors for joules and kilograms force, as shown above.
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Question Description
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