Show the t \( r=\frac{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2} \sum_{i=1}^{n}(y-\bar{y})}} \)

The equilibrium constant, \( K_{\mathrm{c}} \), for the following reaction is 55.6 at 698 K . \[ \mathrm{H}_{2}(g)+\mathrm{I}_{2}(g) \rightleftharpoons 2 \mathrm{HI}(g) \] Calculate the equilibrium concentrations of reactants and product when 0.265 moles of \( \mathrm{H}_{2} \) and 0.265 moles of \( \mathrm{I}_{2} \) are introduced into a 1.00 L vessel at 698 K . \( \left[\mathrm{H}_{2}\right]=\square \mathrm{M} \) \( \left[\mathrm{I}_{2}\right]=\square \) \( [\mathrm{HI}]=\square \) Submit Answer Retry Entire Group 9 more group attempts remaining

Which statement describes the beginning of both the steel and oil industries in the United States? The railroads were entirely responsible for the development and growth of both industries. Steel and oil both developed as unplanned successes that grew in response to new technology. Strong men built important new industries by controlling resources and production. Withornment subsidies, neither the steel nor the oil industry would have been established

11 Leon, Nicholas, and Justin each has an amount of money. The ratio of Leon's ampunt to Justin's amount is \( 7: 3 \) and the ratio of Leon's amount to Nicholas' amount is \( 5: 4 \) Leon then gave 530 to Justin and their ratio became \( 2 \cdot 3 \). Calculate the totaramount of money.

\( 6 \times 2 \times \quad = 96 \)

Consider the following equilibrium system: \[ \mathrm{COCl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \] A 10.00 L evacuated flask is filled with \( 0.4489 \mathrm{~mol} \mathrm{COCl}_{2}(\mathrm{~g}) \) at \( \mathbf{2 9 7 . 7} \mathrm{K} \). The temperature is then raised to 609.0 K , where the decomposition of \( \mathrm{COCl}_{2} \) gas takes place to an appreciable extent. When equilibrium is established, the total pressure in the flask is 3.274 atm. What is the value of the equilbrium constant in terms of concentrations, \( \mathrm{K}_{\mathrm{c}} \), at \( \mathbf{6 0 9 . 0 \mathrm { K }} \) ? \[ \mathrm{K}_{\mathrm{C}}= \]