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3.12 g of oxygen is adsorbed on 1.2 g of platinum metal. Find the volume of oxygen adsorbed per gram of the adsorbent at 1 atm and 300 K.
$[R = 0.0821\ \text{L atm K}^{-1}\ \text{mol}^{-1}]$
Molar mass of O$_2 = 32\ \text{g/mol}$. Moles of O$_2 = \dfrac{3.12}{32} = 0.0975\ \text{mol}$
Total volume at 1 atm, 300 K: $V = \dfrac{nRT}{P} = \dfrac{0.0975 \times 0.0821 \times 300}{1} \approx 2.40\ \text{L}$
Volume per gram of adsorbent (Pt) $= \dfrac{2.40}{1.2} = \mathbf{2.00}\ \text{L g}^{-1}$
The exponent must be dimensionless. Thus, $[\alpha] = \frac{[x^2]}{[kT]}$.
Since $[kT]$ has dimensions of energy $[ML^2T^{-2}]$, $[\alpha] = \frac{[L^2]}{[ML^2T^{-2}]} = [M^{-1}T^2]$.
Force $F$ has the same dimensions as $\alpha\beta$.
$[\beta] = \frac{[F]}{[\alpha]} = \frac{[MLT^{-2}]}{[M^{-1}T^2]} = [M^2 L T^{-4}]$.
Jean Watson originally described 10 carative factors in her 1979 theory. In her later evolution of the theory (Caring Science), she renamed them Caritas Processes (from the Latin caritas, meaning love/charity).
Key concepts in Watson's theory:
- Transpersonal Caring Relationship: A special kind of human connection that transcends the physical
- Caring Occasion/Moment: A moment when nurse and patient come together — each with their own phenomenal field
- Caritas Processes: 10 processes guiding caring practice, emphasizing love, faith, hope, and sensitivity
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