## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## Tip our Team

Our Website is free to use.
To help us grow, you can support our team with a Small Tip.

## Holooly Tables

All the data tables that you may search for.

## Holooly Help Desk

Need Help? We got you covered.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

Products

## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

## Holooly Help Desk

Need Help? We got you covered.

## Q. 5.1

At room temperature, dry ice (solid $CO_{2}$) becomes a gas. At 77°F, 13.6 oz of dry ice are put into a steel tank with a volume of 10.00 ft³ . The tank’s pressure gauge registers 11.2 psi. Express the volume (V) of the tank in liters, the amount of $CO_{2}$ in grams and moles (n), the temperature (T) in °C and K and the pressure (P) in bars, mm Hg, and atmospheres.

 ANALYSIS volume (10.00 ft³); pressure (11.2 psi); temperature (77°F); mass of $CO_{2}$ (13.6 oz) Information given: molar mass of $CO_{2}$ Table 1.3: conversion factors for volume and mass formulas for temperature conversion from °F to °C and from °C to K Information implied: volume in L pressure in atm, mm Hg, and bar temperature in °C and K moles of $CO_{2}$ Asked for:

Table 1.3 Relations Between Length, Volume, and Mass Units

 Metric English Metric-English Length 1 km = 10³ m 1 ft = 12 in 1 in = 2.54 cm* 1 cm = $10^{−2}$ m 1 yd = 3 ft 1 m = 39.37 in 1 mm = $10^{−3}$ m 1 mi = 5280 ft 1 mi = 1.609 km 1 nm = $10^{−9}$ m = 10 Å Volume 1 m³ = $10^{6}cm^{3}$ = 10³ L 1 gal = 4 qt = 8 pt 1 ft³ = 28.32 L 1 cm³ = 1 mL = $10^{−3}$ L 1 qt (U.S. liq) = 57.75 in³ 1 L = 1.057 qt (U.S. liq) Mass 1 kg = 10³ g 1 lb = 16 oz 1 lb = 453.6 g 1 mg = $10^{−3}$ G 1 short ton = 2000 lb 1 g = 0.03527 oz 1 metric ton = 10³ kg 1 metric ton = 1.102 short ton *This conversion factor is exact; the inch is defined to be exactly 2.54 cm. The other factors listed in this column are approximate, quoted to four significant figures. Additional digits are available if needed for very accurate calculations. For example, the pound is defined to be 453.592

STRATEGY

1. Find the necessary conversion factors.
2. Use the temperature conversion formula.
3. Convert oz to grams and use the molar mass of $CO_{2}$ as a conversion factor.
oz → g → mol

## Verified Solution

volume in L                   10.00 ft³ × $\frac{28.32 L}{1 ft³}$ = 283.2 L
pressure in atm            11.2 psi × $\frac{1 atm}{14.7 psi}$ = 0.762 atm
pressure in mm Hg     11.2 psi ×$\frac{1 atm}{14.7 psi}$ × $\frac{760 mm Hg}{1 atm}$ = 579 mm Hg
pressure in bar            11.2 psi ×$\frac{1.013 bar}{14.7 psi}$ = 0.772 bar
temperature in °C       °F = 1.8(°C) + 32; 77° = 1.8(°C) + 32°C; °C = 25°C
temperature in K          K = (°C) + 273.15; K = 25°C + 273.15 = 298 K
mol $CO_{2}$                       13.6 oz × $\frac{1 g}{0.03527 oz}$ × $\frac{1 mol}{44.01 g}$ = 8.77 mol