Question

multiple choice 10 points
later this semester we will learn about gas laws, and find that in a closed system as temperature increases the pressure increases. we can compare the pressure and temperature of a gas in one vessel to the pressure and temperature of the same gas in a different vessel. solve the following equation for t. dont forget your sig fig rules!
\\(\frac{125\\ atm}{t}=\frac{270\\ atm}{675\\ k}\\)
310 k
0.0032 k

1. k

313 k
1.16 k
correct answer not provided
clear my selection
multiple choice 10 points
solve the following mathematical equation. assume all numbers are obtained from measurements.
25.1 + 55.315*(10.3481+11.25 - 19.725)

Explanation:

Step1: Cross - multiply the equation

Cross - multiplying the equation $\frac{125\ atm}{T}=\frac{270\ atm}{675\ K}$ gives us $125\ atm\times675\ K = 270\ atm\times T$.

Step2: Solve for T

First, calculate $125\times675 = 84375$. So the equation becomes $84375\ atm\cdot K=270\ atm\times T$. Then, divide both sides by $270\ atm$ to isolate $T$. $T=\frac{84375\ atm\cdot K}{270\ atm}=312.5\ K$. Rounding to two significant figures (since 125 has 3 sig - figs and 270 has 2 sig - figs, we go with the lower number of significant figures for multiplication/division), $T = 310\ K$.

Answer:

310 K