Answers accurate to 3 or 4 significant figures & show your work.Q. 4) Show how you determine the molar mass and complete chemical formula of C,H10Oy ifits density is 4.00 g/L at 98.0 kPa and 40.0 °C. Also show how you determine themolecular speed of this gas at 40.0 °C. What volume will this gas occupy at STP?

Answered: Answers accurate to 3 or 4 significant…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Question

Answers accurate to 3 or 4 significant figures & show your work.
Q. 4) Show how you determine the molar mass and complete chemical formula of C,H10Oy if
its density is 4.00 g/L at 98.0 kPa and 40.0 °C. Also show how you determine the
molecular speed of this gas at 40.0 °C. What volume will this gas occupy at STP?

Expert Solution

Step 1

The Ideal gas equation is given by,

PV=nRT

P=pressure of gas (atm)

V=volume of gas (L)

n=number of moles of gas (mole)

R=gas constant=0.0821 Latm/mol/k

T=temprature (k)

Number of moles=Mass (g)/Molecolar mass (g/mol)
Density=Mass/volume (g/L)

Step 2

Given,

Density=4.00 (g/L)

$P = 98 k P a = 98 \times 10^{3} P a = {\frac{98 \times 10}{101325}}^{3} = 0.9672 a t m$

T=40 ^oC = 40+273= 313 k

$\begin{array}{rcl} P V & = & n R T \\ P V & = & \frac{m}{M} R T \\ M & = & \frac{m}{v} \frac{R T}{p} (d e n s i t y, ρ = m / v) \\ M & = & \frac{ρ R T}{p} \\ S u b s t i t u t i n g t h e v a l u e s, \\ M & = & \frac{4.00 \times 0.0821 \times 313}{0.967} \\ = & 106.29 g / m o l \approx 106 g / m o l \end{array}$

Step by step

Solved in 4 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions