The Work Done by an Ideal Gas in an Isothermal $\times$

question 20

Multiple Choice

The work done by an ideal gas in an isothermal expansion from volume V₁ to volume V₂ is given by the formula:
W = nRT ln(V₂/V₁)
Standard atmospheric pressure (1 atm) is 101.3 kPa. If 1.0 L of He gas at room temperature (20ºC) and 1.0 atm of pressure is compressed isothermally to a volume of 100 mL, how much work is done on the gas?

• A) 5.6 kJ
• B) 4.7 \(\times\) 10² J
• C) 4.7 \(\times\) 10² kJ
• D) 2.3 \(\times\) 10² kJ
• E) 2.3 \(\times\) 10² J

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Definitions:

Detectably Different

The threshold at which a change in a variable or condition is perceptible or measurable from its previous state.

Fechner's Law

A principle describing the logarithmic relationship between stimulus magnitude and the resultant sensory experience's intensity.

Specificity Theory

The proposal that different sensory qualities are signaled by different quality-specific neurons. This theory is correct in only a few cases (e.g., pain).

Sensation

The process by which sensory receptors and the nervous system receive and represent stimulus energies from the environment.