High School

35 ml of oxygen were collected at 6 degrees Celsius and 758 mm pressure. Calculate the volume at NTP.

A. 30.6 ml
B. 34.8 ml
C. 36.7 ml
D. 38.2 ml

Answer :

Final answer:

The volume of 35 ml of oxygen collected at 6 degrees Celsius and 758 mm pressure, when adjusted to Normal Temperature and Pressure (NTP), is approximately 36.7 ml, an answer choice represented by (c).

Explanation:

The calculation of the volume of a gas at Normal Temperature and Pressure (NTP) from conditions at different temperature and pressure is a typical application of the Ideal Gas Law. In this context, the Ideal Gas Law equation is transformed into the combined Boyle's and Charles' Laws as follows: (P1*V1)/T1 = (P2*V2)/T2 .

Given, the initial pressure P1 equals 758 mm Hg, the initial volume V1 equals 35 ml, and the initial temperature T1 equals 6 degrees Celsius (or 279.15 Kelvin). To find the volume at NTP, we need to use the standard values for pressure and temperature at NTP. These are P2 equals 760 mm Hg, and T2 equals 0 degrees Celsius (or 273.15 Kelvin).

Substitute the given and standard values into the combined Boyle's and Charles' Laws equation to find V2, the unknown volume at NTP: (758 mm Hg * 35 ml)/279.15 K = (760 mm Hg * V2)/273.15 K. Solving this equation for V2 gives approximately 36.7 ml.

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