Tutor profile: Tyra S.
A sample of argon gas at STP occupies 56.2 liters. Determine the number of moles of argon and the mass in the sample.
1) Rearrange PV = nRT to this: n = PV / RT 2) Substitute: n = [ (1.00 atm) (56.2 L) ] / [ (0.08206 L atm mol¯1 K¯1) (273.0 K) ] n = 2.50866 mol 3) Multiply the moles by the atomic weight of Ar to get the grams: 2.50866 mol times 39.948 g/mol = 100. g (to three sig figs like you started with)
Write the null and alternative hypotheses the data set below. Then use the null and alternative hypotheses created for the data set and to run a hypothesis test. This should include the sample mean, standard deviation, critical value, p-value, and conclusion. Ratings for Sushi Tango in Woodbury, MN. 3 1 1 4 2 1 1 4 4 4 4 3 1 3 2 2 3 4 1 3
H0: μ = 3 Ha: μ ≠ 3 Sample mean: 2.55 Standard deviation: 1.234 Alpha value: 0.05 T- critical values: +/- 2.09 P-value: 0.1195 Standardized test statistic: -1.63 Conclusion: Since the standardized t statistic is not within the rejection region of t<-2.09 and t>2.09 then we fail to reject the null hypothesis. So with 5% significance, there is insufficient evidence to reject the claim.
Solve for t. 1/5t + 1/3t = 1
1/5t + 1/3t = 1 *Multiply both sides by 15 3t + 5t = 15 *add t values together 8t = 15 *divide to get t alone t = 15/8
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